MHT CET · Physics · Waves and Sound
Two identical wires are vibrating in unison. If the tension in one of the wires is
increased by \(2 \%\), five beats are produced per second by the two vibrating wires.
The initial frequency of each wire is \((\sqrt{1 \cdot 02} \doteq 1 \cdot 01)\)
- A \(1000 \mathrm{~Hz}\)
- B \(500 \mathrm{~Hz}\)
- C \(400 \mathrm{~Hz}\)
- D \(200 \mathrm{~Hz}\)
Answer & Solution
Correct Answer
(B) \(500 \mathrm{~Hz}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{n} \propto \frac{1}{2 \ell} \sqrt{\frac{\mathrm{T}}{\mathrm{m}}} \quad \therefore \mathrm{n} \propto \mathrm{T}\)
\(\frac{\mathrm{n}_{2}}{\mathrm{n}_{1}}=\sqrt{\frac{\mathrm{T}_{2}}{\mathrm{~T}_{1}}}=\sqrt{\frac{1.02 \mathrm{~T}_{1}}{\mathrm{~T}_{1}}}=\sqrt{1.02}=1.01\)
Also \(\mathrm{n}_{2}-\mathrm{n}_{1}=5\)
\(\therefore 1.01 \mathrm{n}_{1}-\mathrm{n}_{1}=5 \quad \therefore 0.01 \mathrm{n}_{1}=5\)
\(\therefore \mathrm{n}_{1}=\frac{5}{0.01}=500 \mathrm{~Hz}\)
\(\frac{\mathrm{n}_{2}}{\mathrm{n}_{1}}=\sqrt{\frac{\mathrm{T}_{2}}{\mathrm{~T}_{1}}}=\sqrt{\frac{1.02 \mathrm{~T}_{1}}{\mathrm{~T}_{1}}}=\sqrt{1.02}=1.01\)
Also \(\mathrm{n}_{2}-\mathrm{n}_{1}=5\)
\(\therefore 1.01 \mathrm{n}_{1}-\mathrm{n}_{1}=5 \quad \therefore 0.01 \mathrm{n}_{1}=5\)
\(\therefore \mathrm{n}_{1}=\frac{5}{0.01}=500 \mathrm{~Hz}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- An object of mass ' \(m\) ' moving with velocity ' \(u\) ' collides with another stationary object of mass ' M ' and stops just after the collision. The coefficient of restitution isMHT CET 2025 Medium
- In a parallel plate capacitor, the capacity can be increased by decreasingMHT CET 2020 Easy
- If ' \(\mathrm{I}\) ' is moment of inertia of a thin circular disc about an axis passing through the tangent of the disc and in the plane of disc. The moment of inertia of same circular disc about an axis perpendicular to plane and passing through its centre isMHT CET 2023 Medium
- A charged conductor produces an electric field of intensity just outside its surface in vacuum. Then, it produces the electric field of intensity E just outside its surface, when it is placed in a medium of dielectric constant 4. The value of E will beMHT CET 2019 Easy
- A metal sphere cools at a rate of \(1.5^{\circ} \mathrm{C} / \mathrm{min}\) when its temperature is \(80^{\circ} \mathrm{C}\). When the temperature of the sphere is \(40^{\circ} \mathrm{C}\), its rate of cooling is \(0.3^{\circ} \mathrm{C} / \mathrm{min}\). The temperature of the surrounding \(\left(\theta_0\right)\) isMHT CET 2025 Medium
- The maximum velocity of the photoelectrons emitted by a metal surface is \(9 \times 10^5 \mathrm{~m} / \mathrm{s}\). The value of ratio of charge (e) to mass (m) of the photoelectron is \(1.8 \times 10^{11} \mathrm{C} / \mathrm{kg}\). The value of stopping potential in volt isMHT CET 2025 Easy
More PYQs from MHT CET
- IUPAC name of the complex isMHT CET 2019 Medium
- Three polarised sheets are co-axially placed. Pass axis of polaroids 2 and 3 make \(30^{\circ}\) and \(90^{\circ}\) with pass axis of polaroid sheet. If \(\mathrm{I}_0\) is the intensity of unpolarised light entering sheet 1 , the intensity of the emergent light through sheet 3 is
\(\left(\cos 30^{\circ}=\sqrt{3} / 2, \cos 90^{\circ}=0, \cos 60^{\circ}=1 / 2\right)\)
MHT CET 2025 Medium - In the alimentary canal of man, HCI provides acidic pH (pH 1.8) for action of ________.MHT CET 2023 Medium
- A liquid drop having surface energy E is sprayed into 512 droplets of same size. The final surface energy isMHT CET 2025 Medium
- The area of the region bounded by the curves \(\mathrm{y}=|x-4|, x=3\) and \(x=5\), and the X -axis isMHT CET 2025 Medium
- Which of the following species has highest bond energy?MHT CET 2012 Medium